- --- In ascent4cat@yahoogroups.com, Maha lakshmi <maha.b.lakshmi@...> wrote:
>

(2)87 is the smallest no. which when divided by 13 leaves 9 and when divided by 17 leaves 2 as the remainder.

> Hi Friends,

>

> Can any one help in sloving the following problems

>

> 1) Find the Number of ways in which 24700 can be expressed as a product of

> two co-primes?

> 2) Find the smalles number which when divided by 13 leaves 9 as the

> remainder and when divided by 17 leaves 2 as the remainder?

>

> Thanks & Regards,

>

> --

>

> Mahalakshmi.B

>ans-(1)there will be 8 ways in which 24700 can be expressed as a product of two co-prime.

- 1)_
HERE, V NEED TO FIND OUT 2 CO PRIME NOS THAT HAS PROUCT AS 24700.

THESE R THE POSSIBILITIES:

13*4 & 19*25

13*25 & 19*4

ANY OTHE COMBINATION U WIL TAKE WILL HAVE H.C.F. IN COMMON SO, MY ANSWER IS 2… PLZ, CONFIRM THIS ONE…

2)_HERE, WE GET 2 EQ:

13X+9 & 17X+2 NOW THE NO. WUD BE MULTIPLE OF BOTH THIS EQ.

SO YHE NO WUD BE 87 THAT SATISFIES BOTH THE EQ.

**From:**kirik pinky <kiriknpinky@...>**To:**ascent4cat@yahoogroups.com**Sent:**Monday, June 15, 2009 6:48:38 AM**Subject:**Re: [2IIM CAT Prep] Numbers

Hi,1) 24700 = 247*100 = 13 x 19 x 2^2 x 5^2 (expressed in prime numbers)Number of ways of obtaining m x n such that they are coprime and also mx n = 24700 is4C1+ 4C2 = 4 + 6 = 10.Hopefully this is right.

Sandeep

IIT MADRAS--- On

**Tue, 5/5/09, Maha lakshmi**wrote:*<maha.b.lakshmi@ gmail.com>*

From: Maha lakshmi <maha.b.lakshmi@ gmail.com>

Subject: [2IIM CAT Prep] Numbers

To: ascent4cat@yahoogro ups.com

Date: Tuesday, 5 May, 2009, 1:45 PMHi Friends,

Can any one help in sloving the following problems1) Find the Number of ways in which 24700 can be expressed as a product of two co-primes?

2) Find the smalles number which when divided by 13 leaves 9 as the remainder and when divided by 17 leaves 2 as the remainder?Thanks & Regards,

--

Mahalakshmi. B

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